Edge States and Interferometers in the Pfaffian and anti-Pfaffian States

Details Edge States and Interferometers in the Pfaffian and anti-Pfaffian States Edge States and Interferometers in the Pfaffian and anti-Pfaffian States

2007-08-20

arxiv.org/abs/0708.2704v3

Phys. Rev. B 77, 165302 (2008)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

8 pages, 3 figures. Fixed typos, added refs 32-33

Scientific paper

10.1103/PhysRevB.77.165302

We compute the tunneling current in a double point contact geometry of a Quantum Hall system at filling fraction $\nu=5/2$, as function of voltage and temeprature, in the weak tunneling regime. We quantitatively compare two possible candidates for the state at $\nu=5/2$: the Moore-Read Pfaffian state, and its particle-hole conjugate, the anti-Pfaffian. We find that both possibilities exhibit the same qualitative behavior, and both have an even-odd effect that reflects their non-Abelian nature, but differ quantitatively in their voltage and temperature dependance.

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